I suspect the inclusion of trans so-called "conversion therapy " is the quid pro quo to appease the menzfeels.
It seems that way to me too - which is a disaster. They've admitted that including gender identity in the law is much more complex and prone to unexpected side effects than sexual orientation. That's still the case. Nothing has changed. It's still bad law.
We've been fooled before with the GRA, which despite best intentions and lots of assurances that it was for a tiny number of marginalised people and wouldn't be a problem for anyone else, has proved a complete Trojan horse, and has resulted in the destruction of so many single sex spaces - as fearful people and organisations have gone not just over and above the law, but flying past in a totally different direction.
Don't let's drop our guard in the relief of the GRR bill being stopped.
Compromise doesn't mean 'if we win one, we have to let them win one too'. That's female socialisation talking.
Compromise means that we want everyone's needs to be considered and balanced. Trans people and women. And that means that if they throw 100 terrible laws at us, we have to stand firm against all 100 of the terrible laws.
Including Gender Identity in the conversion therapy is another GRA-like Trojan horse. Once it's there, it will be incredibly hard to repeal. Keep writing to MPs, keep pushing!